Landon Lowman, star quarterback of the university football team, is thinking

about forgoing his last two years of eligibility and making himself available

for the professional football draft. Scouts estimate that Landon could receive

a signing bonus of $$1\mathrm{.}5$ million today along with a five$-$year contract for $$3$

million per year $($payable at the end of the year$).$ They further estimate that he

could negotiate a contract for $$5\mathrm{.}5$ million per year for the remaining seven

years of his career.

The scout believe, however, that Landon will be a much higher draft pick if

he improves by playing out his eligibility. If he stays at the university, he is

expected to receive a $$2\mathrm{.}5$ million signing bonus in two years along with a $5-$

year contract for $$5$ million per year. After that, the scouts expect Landon to

obtain a five$-$year contract for $$6$ million per year to take him into retirement.

Assume that Landon can earn a $8\%$ return over this time. Should Landon stay

or go$?$

What values would you put into the financial calculator?